Question

O is center of circle . Find the length of radius , if the chord of length 16cm is at a distance of 9cm from the center of circle​

Answer 1

Answer:

Step-by-step explanation:

OA is radius

O is the centre of circle.

AB is the chord and OC⊥AB

Segment between the centre of circle bisect the chord into two parts

∴AC=CB=

2

1

AB

∴AC=CB=12

Now ΔOCB is right angle triangle

∴ by Pythagoras theorem

(OC)

2

+(AC)

2

=(OA)

2

(9)

2

+(12)

2

=(OA)

2

81+144=(OA)

2

225=(OA)

2

∴ Taking square root both sides

∴15=OA

∴ The radius of circle 15cm